Level D

Measurement and Data Level D

1. Mastery of Level C
2. Interpreting Numerical Data
   Students will be able to:
   • Summarize numerical data the number of observations, how it was measured, and units of measure
3. Describing Distributions
   Students will be able to:
   • Identify mean, median, range, mode, and patterns in data
   • Explain variability within a data set
   • Explain how choice of central measure affects the shape of data distribution
4. Applying Statistics and Sampling
   Students will be able to:
   • Demonstrate understanding of the concepts of sampling
   • Draw inferences about a population based on random sampling
5. Analyzing Comparative Data
   Students will be able to:
   • Make comparisons between two populations
   • Apply understanding of statistical variability to identify overlapping data in different data sets
6. Understanding Probability
   Students will be able to:
   • Demonstrate understanding of probability as the likelihood of an event occurring
   • Predict the likelihood of an event occurring given information about the event
   • Predict the likelihood of an event occurring at the same time as another event
   • Investigate the correlation of events or data by comparing their relationships visually
   • Use algebraic thinking skills to solve problems involving the comparison of bivariate data, through interpreting slope and intercept
   • Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities

Algebraic Thinking Level D

1. Mastery of Level C
2. Solving Expressions and Equations
   Students will be able to:
   • Use properties of operations to create equivalent expressions
   • Solve multi-step problems in algebraic form in both contextualized
     applications and abstract mathematics
3. Understanding Radicals and Exponents
   Students will be able to:
   • Use square roots and cube roots in equations
   • Recognize and represent very large or very small quantities using
     scientific notation
   • Perform operations using scientific notation
4. Solving Linear Equations
   Students will be able to:
   • Understand the line of best fit
   • Understand slope as a rate of change
   • Understand a distance versus time graph with the slope representing
     speed
   • Compare rates with relationships represented in different ways (e.g., graph vs, chart)
   • Solve systems of linear equations
5. Introductory Functions
   Students will be able to:
   • Define, evaluate, and compare functions
   • Use functions to model relationships

Geometry Level D

1. Mastery of Level C
2. Drawing, Constructing, and Describing Geometric Figures
   Students will be able to:
   • Solve problems involving scale drawings
3. Measuring Two- and Three-Dimensional Figures
   Students will be able to:
   • Analyze two- and three-dimensional space using distance, angles, similarity, and congruence
4. Solving Problems Involving Angles
   Students will be able to:
   • Recall facts about supplementary, complementary, vertical, and adjacent angles
   • Assess and apply sum angle theory
   • Differentiate between and build similar triangles, applying knowledge of identical angles and congruence
5. Solving Area, Surface Area, and Volume
   Students will be able to:
   • Students will be able to find perimeter and circumference, area, surface area and volume of two- and three-dimensional shapes as previously defined
6. Comparing and Describing Transformations
   Students will be able to:
   • Interpret, assess, and perform reflection, rotation, translation, and dilation of two-dimensional figures
7. Applying Pythagorean Theorem
   Students will be able to:
   • Assess, explain, and demonstrate Pythagorean Theorem, including how it is used in the distance formula

Number Sense Level D

1. Understanding Number Lines, Integers, and Rational Numbers
   Students will be able to:
   • Apply extending number systems to all rational numbers, including
     negative numbers
   • Understand a rational number as a point on the number line
2. Understanding the Coordinate Plane
   Students will be able to:
   • Extend number line diagrams familiar from previous levels and create coordinate axes to represent a two-dimensional plane with points on the line and in the plane with positive and negative coordinates
   • Apply and extend previous understanding of addition and subtraction to add and subtract rational numbers, representing addition and subtraction on horizontal and vertical number lines
3. Dividing of Negative Numbers and Understanding Reciprocals
   Students will be able to:
   • Demonstrate full understanding of division of fractions, including reciprocals and negative integers